Adding & Subtracting Vectors How are vectors added and subtracted numerically? To add or subtract vectors numerically simply add or subtract each of the corresponding components In column vecto...
Scalars & Vectors What are scalars? Scalars are quantities without direction They have only a size (magnitude) For example: speed, distance, time, mass Most scalar quantities can never be negat...
Determinant of a Transformation Matrix What is a determinant? the determinant is det A = ad - bc What does the determinant of a transformation matrix (A) represent? The absolute value of the determ...
Transformation by a Matrix What is a transformation matrix? A transformation matrix is used to determine the coordinates of an image from the transformation of an object Commonly used transformatio...
Toxic Waste Dump Problem What is the toxic waste dump problem? The toxic waste dump problem is the name given to the general idea of finding the point on a Voronoi diagram which is furthest from an...
Drawing Voronoi Diagrams What are Voronoi Diagrams? A Voronoi diagram shows the region containing the set of all points which are closer to one given site than to any other site on the diagram A si...
Graphs of Trigonometric Functions What are the graphs of trigonometric functions? The trigonometric functions sin, cos and tan all have special periodic graphs You’ll need to know their properties ...
Simple Identities What is a trigonometric identity? They are used to help simplify trigonometric equations before solving them Sometimes you may see identities written with the symbol ≡ This means ...
Defining Sin, Cos and Tan What is the unit circle? The unit circle is a circle with radius 1 and centre (0, 0) Angles are always measured from the positive x-axis and turn: anticlockwise for positi...
